I need to find definite integrals of type

integrate(exp(-a*p^2),p = %minusInfinity..%plusInfinity)

for which FriCAS gives me "failed". Even

integrate(exp(-a^2*p^2),p = %minusInfinity..%plusInfinity)

fails, although integrate(exp(-a^2*p^2),p) works. How can I evaluate
the first integral (assuming a>0)?

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